Now in its fourth edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in K-grade 8. Math education expert Marian Small shows teachers how to get started and become expert at using two…

Teaching and learning fraction concepts continues to be increasingly challenging, especially for elementary and middle school mathematics teachers and students in intervention settings. It is critical for educators to implement instruction that proactively considers engagement, access, and conceptual growth for all students. Dream 2B, a web-based…

The aim of this research is to determine the misconceptions among 6th, 7th and 8th grade students about the order of operations in line with arithmetic expressions and posing and solving problems related to arithmetic expressions. The research has a mixed-method research design with concurrent-triangulation design. The study group for the research…

This is a descriptive study which attempts to answer how well 8th grade students define a rectangle. The subjects for this study were 93 of 8 th grade students. The students were administered a written open ended test on the definition of a rectangle which was adapted from Ahuja (1996). Responses of the students were coded by each researcher…

Learning and teaching function transformation has a significant place since it provides new opportunities for learners to use, reflect and discover knowledge related to the concept of function. This study's main goals related to the importance of learning function transformation are to examine pre-service mathematics teachers' (PMTs) mental…

Children and adults often have difficulties comparing decimal magnitudes. Although individuals attempt to reconcile decimals with prior whole-number and fraction knowledge, conceptual and procedural differences between decimals and prior knowledge of whole numbers and fractions can lead to incorrect strategies. The dynamic strategy choice account…

This paper explores the use of a mediated field experience (MFE) for teacher candidates in a middle school setting, a small laboratory school. This work focuses on adjustments made for the MFE to function in an online environment during remote instruction caused by a worldwide pandemic. Teacher candidates completed a learning cycle focused on…

A multiple case study was conducted to investigate how Lego robotics instruction incorporated into a middle grades mathematics methods course could inform pre-service teachers' (PSTs) TPACK through the lens of Social Constructivist Theory. The qualitative data analysis revealed that when instruction on Lego robotics technology is integrated into…

Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

Achievement in the academic settings has long lasting positive outcomes. In this study, hope, self-efficacy, and engagement are linked to academic success. The aims of this study were to test a model which predicts academic success in the Dominican Republic while testing for the mediator role of engagement. The sample was composed of 614…

Group discussions during mathematics lessons provide important opportunities for students to deeply engage with mathematics content and to develop communication skills and strong understanding aligned with college and career readiness objectives (Walshaw & Anthony, 2008). However, such student-centered discussions are less common than…

Generative AI, particularly Language Models (LMs), has the potential to transform real-world domains with societal impact, particularly where access to experts is limited. For example, in education, training novice educators with expert guidance is important for effectiveness but expensive, creating significant barriers to improving education…

Positioning students as competent is a teaching practice that uses specific, explicit affirmations to note that students have contributed something meaningful to the community of learners. It supports student agency in the mathematics classroom and contributes to the development of a positive mathematics identity. In this article, the authors…

A gulf exists between prior work testing metacognitive instructional interventions and teacher practices that may support metacognition in the classroom. To help bridge this gulf, we designed an observational protocol to capture whether and how teachers provide metacognitive support in their talk and examined whether these supports were related to…

Although reasoning and proof in learning and teaching mathematics is crucial and have gained more presence in school mathematics, both students and their teachers face great difficulties when engaging in proving activities. One potential cause for such difficulties might be due to teachers' conception of proof. However, to date, there are few, if…